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An adaptive finite element procedure for the image segmentation problem

✍ Scribed by Yaacobson, Fiana S. ;Givoli, Dan

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
215 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

The image segmentation problem in computer vision is considered. Given a two-dimensional domain D and a function de®ned on it (the original image), the problem is to obtain a `cartoon' associated with this function, namely to ®nd a set of inner boundaries which divide D into subdomains (objects) in an optimal way. The optimality criterion used here is given by the Mumford±Shah (MS) and Blake±Zisserman model, which leads to a strongly non-linear problem. Related problems appear in multiphase continuum mechanics. An iterative procedure based on an h-adaptive ®nite element method is proposed for the solution of this problem. The mesh adaptivity enables an ecient solution technique, with the use of basic coarse discretization and a few local regions of high resolution where needed.

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